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Volume of Cuboid
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Example: The outer dimensions of a closed wooden box are 6 cm by 4 cm by 3 cm. Thickness of the wood is 1 cm. Find the total cost of wood required to make box if 1 cm3 of wood cost Rs. 2.00.
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Solution: The external dimension of the box are : Length = 6 cm, Breadth = 4 cm, Height = 3 cm.
External volume of the box = (6 x 4 x 3) cm3 = 72 cm3
Thickness of the wood = 1 cm.
Internal length = 6-2 = 4 cm
Internal breadth = 4-2 = 2 cm
Internal height = 3-2 = 1 cm
Internal volume = (4 x 2 x 1) cm3 = 8 cm3
Volume of the wood = External volume - internal volume = (72 - 8) cm3 = 64 cm3
Hence, total cost of wood required to make box = Rs. (64 x 2) = Rs. 128.
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